Physics 9702 · AS & A Level · Characteristics of alternating currents

Characteristics of alternating currents — practice question

An alternating voltage with sinusoidal variation has a root-mean-square (r.m.s.) potential difference (p.d.) of $4.2\,\text{V}$ and a frequency of $50\,\text{kHz}$.
(a(i))[2]

A resistor with resistance $760\,\Omega$ has the alternating voltage applied across it. By using the peak voltage, show that the maximum power dissipated by the resistor is $46\,\text{mW}$.

(a(ii))[3]

On Fig. 7.1, plot a smooth curve to represent how the power $P$ dissipated in the resistor changes with time $t$ from $t = 0$ to $t = 40\,\mu\text{s}$. Take $P = 0$ at $t = 0$.

(a(iii))[1]

Use the line you drew in (a)(ii) to justify why the mean power dissipated in the resistor is $23\,\text{mW}$.

(b(i))[3]

The alternating voltage in (a) is now connected to a piezoelectric crystal in air. Explain the effect on the air around the crystal.

(b(ii))[1]

A second piezoelectric crystal is placed in air close to the first crystal. Explain how the surrounding air in (b)(i) affects the second crystal.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: maximum voltage $= 4.2\sqrt{2}$

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